Ulibubin, M.U and Sunarto, Andang and Akhir, M.K.M and Sulaiman, J Performance Analysis of Half-sweep SOR Iteration with Rotated Nonlocal Arithmetic Mean Scheme for 2D Nonlinear Elliptic Problems. Australian Journal Of Basic and Applied Science, 12 (4). pp. 3415-3424. ISSN 0973-1768
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Abstract
The aim of this paper is to examine the effectiveness of Half-Sweep Successive Over Relaxation (HSSOR) method with nonlocal discretization scheme which is derived based on the four-point rotated nonlocal arithmetic mean scheme in solving nonlinear elliptic boundary value problems. By using an approximate equation based on the second order finite difference scheme, the half-sweep approximation equation has been derived. Then, the nonlocal discretization scheme is applied to transform the system of nonlinear approximation equations into the corresponding system of linear equations. Throughout numerical results, it can be pointed out that the proposed HSSOR method was superior in terms of number of iterations, execution time and maximum error compared to Full-Sweep Successive Over-relaxation (FSSOR) and Half-Sweep Gauss-Seidel (HSGS).
| Item Type: | Article |
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| Uncontrolled Keywords: | Nonlinear Elliptic Boundary Value Problems; Nonlocal Arithmetic Mean Scheme; Half-Sweep SOR iteration. |
| Subjects: | H Social Sciences > HA Statistics |
| Divisions: | Faculty of Engineering, Science and Mathematics > School of Electronics and Computer Science |
| Depositing User: | Syahril Syahril M.Ag |
| Date Deposited: | 02 Apr 2019 04:22 |
| Last Modified: | 02 Apr 2019 04:22 |
| URI: | http://repository.iainbengkulu.ac.id/id/eprint/2755 |
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